What is factor (x-2)^2-20 ?

The solution to factor (x-2)^2-20 is (x-2+2sqrt(5))(x-2-2sqrt(5))

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factor (x-2)^2-20

factor

(x - 2)^{2} - 20

(x - 2 + 25) (x - 2 - 25)

Solution steps

(x - 2)^{2} - 20

Apply radical rule:

a = (a)^{2}

20 = (20)^{2}

= (x - 2)^{2} - (20)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x - 2)^{2} - (20)^{2} = ((x - 2) + 20) ((x - 2) - 20)

= ((x - 2) + 20) ((x - 2) - 20)

Refine

= (x + 25 - 2) (x - 2 - 25)

30 - 3 d^{20}

3 e^{2} - 2 e

a + (a \cdot 0.12)

(2 x - z)^{3} + 125 y^{3}

What is factor (x-2)^2-20 ?
The solution to factor (x-2)^2-20 is (x-2+2sqrt(5))(x-2-2sqrt(5))